977013600 has 144 divisors (see below), whose sum is σ = 3258072720. Its totient is φ = 254156800.

The previous prime is 977013593. The next prime is 977013623. The reversal of 977013600 is 6310779.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93436 + ... + 103364.

It is an arithmetic number, because the mean of its divisors is an integer number (22625505).

Almost surely, 2^977013600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629036360).

977013600 is an abundant number, since it is smaller than the sum of its proper divisors (2281059120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

977013600 is a wasteful number, since it uses less digits than its factorization.

977013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 977013600 is about 31257.2167666925. The cubic root of 977013600 is about 992.2783969755.

The spelling of 977013600 in words is "nine hundred seventy-seven million, thirteen thousand, six hundred".